title: Legacies of the Gerchberg-Saxton algorithm.
abstract: To celebrate W. Owen Saxton's 65th birthday, this paper presents some of the impact that the Gerchberg-Saxton algorithm has had over the last 40 years. We explore some of the fundamental concepts underlying the success of the Gerchberg-Saxton algorithm, in the context of how it stimulated many related methods for estimating fields and deepening the understanding of the relationships between complex objects, images and their Fourier transforms.
authors.affiliation: Center for Optoelectronics and Optical Communications, University of North Carolina at Charlotte, Charlotte, NC 28223, USA. Electronic address: mafiddy@uncc.edu.
authors.forename: M A
authors.initials: MA
authors.lastname: Fiddy
authors.forename: U
authors.initials: U
authors.lastname: Shahid
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D005583:Fourier Analysis; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*
keywords: Fourier phase retrieval; Iterative algorithms; Spectral estimation